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Finding the Third Proportional to 453,661 and 978,192

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Solution

The third proportional to 453,661 and 978,192 is: 2,109,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,661 : 978,192 = 978,192 : x
  2. Step 2: Convert to fraction form
    453,661/978,192 = 978,192/x
  3. Step 3: Cross multiply
    453,661x = 978,192 × 978,192
  4. Step 4: Simplify right side
    453,661x = 956,859,588,864
  5. Step 5: Solve for x
    x = 956,859,588,864/453,661
  6. Step 6: Final answer
    x = 2,109,195.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.